# Derived categories of centrally-symmetric smooth toric Fano varieties

## TL;DR

This paper constructs full exceptional collections of vector bundles on a class of smooth, Fano toric varieties with centrally symmetric fans, advancing the understanding of their derived categories.

## Contribution

It provides explicit full exceptional collections for centrally-symmetric smooth toric Fano varieties, a new class of examples in derived category theory.

## Key findings

- Established full exceptional collections on these varieties.
- Extended the class of known derived category decompositions.
- Enhanced understanding of the structure of toric Fano varieties.

## Abstract

We exhibit full exceptional collections of vector bundles on any smooth, Fano arithmetic toric variety whose split fan is centrally symmetric.